The Method of Determining Horizontal Curvature in Geometrical Layouts of Railway Track with the Use of Moving Chord

[摘要] In the paper, the issue of determining the horizontal curvature of the railway track axis was discussed to defineunknown geometric characteristics of the measured route (location of straight and arched sections, circular arc radii,transition curve lengths, etc.). This problem has not been solved yet, and so far geometrical characteristics have beenidentified by approximate methods (e.g. horizontal arrow chart). Operating the angles of tangent to the geometricallayout (resulting from the very definition of curvature) seems very difficult in a real railway track reproduced on thebasis of measurements. Therefore, a new concept has emerged to determine the curvature of the track not with the useof tangent but corresponding chords. In this way, the idea of curvature determination using the method of changing theslope angles of the moving chord was developed. Verification of the proposed method, carried out on a clearly definedbasic geometric system of tracks, showed a sufficient compliance of the obtained curvature charts with the charts of thecorresponding geometric solution. In order to use this method, one must know the coordinates of the points of a givensection of the route in the Cartesian system.

[学科分类] 建筑学

[关键词] Track Geometry;Horizontal Curvature;Use of Moving Chord;Verification of a New Method